The aims of this study were: (1) to analyze the level of agreement of a sample of Italian people with the rights of people with physical and psychical disabilities (PwPHDs and PwPSYDs) to have satisfying sexuality, to marry, to adopt a child; (2) to inquire if PwPSYDs were subject to less recognition than PwPHDs; (3) to verify if socio-demographic characteristics, such as age, sex, education, occupation, geographical origin, relational status, sexual orientation, and religiosity, associated with being against these sexual and parenting rights (SPRs). An online anonymous questionnaire inquired the level of agreement or disagreement with statements regarding the SPRs of PwPHDs and PwPSYDs. 973 participants, aged 18 – 84 years (71.1% females) were considered for analyses; At least 7 out of 10 participants declared in favor of the SPRs of PwPHDs, while the SPRs of PwPSYDs were always subjected to higher underrecognition. Religiosity almost invariably associated to being against the SPRs of PwDs. Being male, of higher age and lower education also associated with lower recognition. A better identification of the less tolerant respondents and of the less recognized categories may allow for specific strategies for promoting the recognition of the SPRs for PwDs.